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Finding the Fourth Proportional to 586,403.10, 809,323.11 and 371,563.17

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Solution

The fourth proportional to 586,403.10, 809,323.11 and 371,563.17 is: 512,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,403.10 : 809,323.11 = 371,563.17 : x
  2. Step 2: Convert to fraction form
    586,403.10/809,323.11 = 371,563.17/x
  3. Step 3: Cross multiply
    586,403.10x = 809,323.11 × 371,563.17
  4. Step 4: Simplify right side
    586,403.10x = 300,714,660,305.86
  5. Step 5: Solve for x
    x = 300,714,660,305.86/586,403.10
  6. Step 6: Final answer
    x = 512,812.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.